We gratefully acknowledge support from
the Simons Foundation and member institutions.
Full-text links:

Download:

Current browse context:

cond-mat.stat-mech

Change to browse by:

References & Citations

Bookmark

(what is this?)
CiteULike logo BibSonomy logo Mendeley logo del.icio.us logo Digg logo Reddit logo

Condensed Matter > Statistical Mechanics

Title: Cooperative dynamics in the Fiber Bundle Model

Abstract: We discuss the cooperative failure dynamics in the Fiber Bundle Model where the individual elements or fibers are Hookean springs, having identical spring constant but different breaking strengths. When the bundle is stressed or strained, especially in the equal-load-sharing scheme, the load supported by the failed fiber gets shared equally by the rest of the surviving fibers. This mean-field type statistical feature (absence of fluctuations) in the load-sharing mechanism helped major analytical developments in the study of breaking dynamics in the model and precise comparisons with simulation results. We intend to present a brief review on these developments.
Comments: Invited review paper for the Spl. Issue on "The Fiber Bundle" in Frontiers in Physics (in Press)
Subjects: Statistical Mechanics (cond-mat.stat-mech)
Cite as: arXiv:2012.12698 [cond-mat.stat-mech]
  (or arXiv:2012.12698v1 [cond-mat.stat-mech] for this version)

Submission history

From: Soumyajyoti Biswas [view email]
[v1] Wed, 23 Dec 2020 14:26:41 GMT (296kb)

Link back to: arXiv, form interface, contact.